2427281151504 has 320 divisors, whose sum is σ = 7124672372736. Its totient is φ = 705438720000.

The previous prime is 2427281151419. The next prime is 2427281151521. The reversal of 2427281151504 is 4051511827242.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1123220184 + ... + 1123222344.

Almost surely, 2^{2427281151504} is an apocalyptic number.

2427281151504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2427281151504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562336186368).

2427281151504 is an abundant number, since it is smaller than the sum of its proper divisors (4697391221232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2427281151504 is a wasteful number, since it uses less digits than its factorization.

2427281151504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 2792 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 42.

Adding to 2427281151504 its reverse (4051511827242), we get a palindrome (6478792978746).

The spelling of 2427281151504 in words is "two trillion, four hundred twenty-seven billion, two hundred eighty-one million, one hundred fifty-one thousand, five hundred four".